判断并解决线性规划悖论的最优配置结构方法  

The Method of the Optimal Allocation Structure to Determine and Resolve the Paradox in Linear Programming

作　　者：杨德权[1] 于吉芳[1] 

机构地区：[1]系统工程研究所,大连理工大学管理学院,辽宁大连116024

出　　处：《运筹与管理》2010年第6期13-19,共7页Operations Research and Management Science

摘　　要：借鉴Chobot-turnovec提出的最优技术结构概念,改进其模型,提出了一个判断并解决线性规划悖论问题的新方法——最优配置结构方法。新方法有两个明显优势:第一、具有统一的模型,对悖论现象的判断和解决基于同一准则,且适用于更广泛意义下的"多反而少"和"少反而多"两类悖论现象。第二、能够更明确地解释线性规划悖论的经济意义。In this paper we propose a new method of determining and resolving the paradox in linear programming—the optimal allocation structure,using the notion of ＂technological＂ optimal structure characterized by Chobot-turnovec（1974）.The new method has two obvious advantages： firstly,it has a unified model,judging and resolving the phenomenon of paradox based on the same criteria,and is applied to the wider sense of two types of paradox of＂more-for-less＂ and＂less-for-more＂.Secondly,it is able to analyse more clearly the economic interpretation of paradox in linear programming.

关 键 词：运筹学 线性规划悖论 最优配置结构 多反而少 少反而多 

分 类 号：O221.1[理学—运筹学与控制论]